where erf is the error function [1]}. (We present the formal solutions obtained by the Maple 12 Software
[Copyright (c) Maplesoft, a division of Waterloo Inc. 1981 -2008] from now on.)
This solutions is not so commonly known. Non zero \(c_1\)  integration constant modifies the shape of the Gaussian solution.
For clarity, figure (REF ) shows the solutions for different initial conditions.
<FIGURE>